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Farshid Mirzaee

Farshid Mirzaee

Academic rank: Professor
ORCID: 0000-0002-1429-2548
Education: PhD.
ScopusId: 6508385954
HIndex: 34/00
Faculty: Mathematical Sciences and Statistics
Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.
Phone: +98 - 81 - 32457459

Research

Title
Bernoulli collocation method with residual correction for solving integral-algebraic equations
Type
FinishedProject
Keywords
Integral algebraic - equations, Approximate solutions, Bernoulli collocation method, Error analysis
Year
2016
Researchers Farshid Mirzaee

Abstract

In this research, numerical solution of integral algebraic - equations are investigated by using Bernoulli collocation method. This attempt includes three chapters which are organized as follow. Chapter 1, is devoted to fundamental concepts of Bernoulli polynomials and expanded functions to its Bernoulli polynomials series. In chapter 2, Bernoulli matrix method is used for obtaining the numerical solution of systems of Volterra integral equations. Numerical solution of integral algebraic equations by using this method is presented in Chapter 3. To demonstrate the effectiveness of our work several numerical examples are presented at the end of each chapter.